PUBLICATIONS:


Configurações de equilíbrio em cristais elásticos; Tese de Mestrado, IST, 1989 (orientador M. Ricou)

On the Stefan problem with crystalline interfacial energy;  PhD thesis (orientador M. Gurtin), 1993

Gurtin, M. E. e J. Matias: Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces  -  Quaterly of Applied Mathematics, Vol. LIII,  N.4, pgs. 761 a 782, Dezembro de 1995

Giga Y., M. E. Gurtin e J. Matias:  On the Dynamics of Crystalline Motions,  Japan Journal of Industrial and Applied Mathematics, Vol. 15, N 1, pgs. 7 a 50, Fev. de 1998

Barroso, A. C. e J. Matias: On a Volume Constrained Variational Problem in SBV2: Part I, em ESAIM-COCV/2002

Barroso, A. C. e J. Matias: Necessary and Sufficient Conditions for Existence of  Solutions of a Variational Problem Involving the Curl, Discrete and Continuous Dynamical Systems  Series A., Janeiro de 2005.

 S. Bandyopadhyay, A.C. Barroso, B. Dacorogna and J. Matias: Differential inclusions for differential forms, Calculus of Variations and Partial Differential
Equations, edição electrónica em Agosto de 2006 (ref. DOI 10.1007/s00526-006-0049-6).


 Matias, J., Differential inclusions in SBV_0(\Omega) and applications to the calculus of variations, Journal of Convex Analysis 14, (2007), Nº3
edição electrónica disponível,
 (http://www.heldermann.de/JCA/JCA14/JCA143/jca14030.htm).

Matias, J.  Necessary and sufficient conditions for existence of solutions of a divergence- type variational problem,
 São Paulo Journal of Mathematical Sciences  Nº2, 2 (2008), 309-324.
 

Barroso, A. C. e J. Matias,  On an Ill Posed Problem in  SBV^2_0(\Omega)
Journal of Convex Analysis 17 (2010), No. 2


Matias, J., Sufficient conditions for existence of solutions of a lower dimensional variational problem
Aceite para publicação nos Proceedings do 2º Encontro IST/IME ( São Paulo Journal of Mathematical Sciences ).


Artigos submetidos ou em preparação: 

J. Matias e P. M. Santos, A dimension reduction result in the framework of structured deformations,


M. Baía, J. Matias e P. M.Santos: A relaxation result in the framework of structured deformations.

M. Baía, M. Chermisi, J.Matias e P. M. Santos:  Lower semicontinuity for signed functionals with linear growth in the context of A-quasiconvexity.


M. Baía, A. C. Barroso, M. Chermisi e J. Matias: Coupled second order singular perturbations for phase transitions.